a block of walnut wood has a mass of 84.96 g and density of 0.59 g/cm³. the block is a rectangular prism…
a block of walnut wood has a mass of 84.96 g and density of 0.59 g/cm³. the block is a rectangular prism with a length of 2 cm and a width of 8 cm. what is the height of the block of walnut? enter your answer in the box. cm
Answer
Explanation:
Step1: Find the volume of the wood
We know that density $\rho=\frac{m}{V}$, so $V = \frac{m}{\rho}$. Given $m = 84.96$ g and $\rho=0.59$ g/cm³. $V=\frac{84.96}{0.59}=144$ cm³
Step2: Use the volume formula for a rectangular - prism
The volume formula for a rectangular prism is $V=l\times w\times h$, where $l = 2$ cm, $w = 8$ cm and $V = 144$ cm³. We need to solve for $h$. $h=\frac{V}{l\times w}$ Substitute $V = 144$ cm³, $l = 2$ cm and $w = 8$ cm into the formula. $h=\frac{144}{2\times8}=\frac{144}{16}=9$ cm
Answer:
9